Heat Kernels and Dirac Operators
In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geometric construction of...
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Klappentext zu „Heat Kernels and Dirac Operators “
In the first edition of this book, simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.-M. Bismut) were presented, using an explicit geometric construction of the heat kernel of a generalized Dirac operator; the new edition makes this popular book available to students and researchers in an attractive paperback.
Inhaltsverzeichnis zu „Heat Kernels and Dirac Operators “
- Introduction- Background on Differential Geometry
- Asymptotic Expansion of the Heat Kernel
- Clifford Modules and Dirac Operators
- Index Density of Dirac Operators
- The Exponential Map and the Index Density
- The Equivariant Index Theorem
- Equivariant Differential Forms
- The Kirillov Formula for the Equivariant Index
- The Index Bundle
- The Family Index Theorem
- Bibliography
- List of Notations
- Index.
Bibliographische Angaben
- Autoren: Nicole Berline , Ezra Getzler , Michèle Vergne
- 2003, 363 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Deutsch
- Verlag: Springer
- ISBN-10: 3540200622
- ISBN-13: 9783540200628
- Erscheinungsdatum: 08.12.2003
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